You can easily use jQuery for this. At first you build your Query String:
//For the Element with the ID 1
var urlQuery = "https://www.url.i/site/_vti_bin/ListData.svc/Listname?$filter=ID eq 1";
Then you can access the items from the list:
$.getJSON(urlQuery,
function (data) {
$.each(data.d.results, function (i, item) {
var title = item.Title;
});
});
EDIT 1: Fixed it, should work for SP2010.
EDIT 2: For SP 2013 you can use this Query String:
http://url.i/sites/siteName/_api/web/lists/getByTitle('listName')/items?$filter=Id eq 1
Then you should get the element as XML. If you put
accept: application/json;odata=verbose
in the HTTP-Header you get the result as JSON
Here are some more information about Rest in SharePoint 2013